Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies

Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies

Abstract In this article, we present some existence of weak solutions for a coupled system of implicit fractional differential equations of Hilfer–Hadamard type. Our approach is based on Mönch’s fixed point theorem associated with the technique of measure of weak noncompactness.

Bibliographic Details
Main Authors: Saïd Abbas, Mouffak Benchohra, Naima Hamidi, Yong Zhou
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Advances in Difference Equations
Subjects:
Coupled fractional differential system
Left-sided mixed Pettis–Hadamard integral of fractional order
Hilfer–Hadamard fractional derivative
Weak solution
Implicit
Fixed point
Online Access:http://link.springer.com/article/10.1186/s13662-018-1787-4

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